Question
Factorise:
$8 a^3+27 b^3+36 a^2 b+54 a b^2$
$8 a^3+27 b^3+36 a^2 b+54 a b^2$
✓
Answer
$8 a^3+27 b^3+36 a^2 b+54 a b^2$
$=(2 a)^3+(3 b)^3+3(2 a)^2(3 b)+3(2 a)(3 b)^2$
$=(2 a+3 b)^3$
$=(2 a)^3+(3 b)^3+3(2 a)^2(3 b)+3(2 a)(3 b)^2$
$=(2 a+3 b)^3$
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